Publication Details

New Trends in Taylor Series Based Computations

KUNOVSKÝ, J.; ŠÁTEK, V.; KRAUS, M. New Trends in Taylor Series Based Computations. In Numerical Analysis and Applied Mathematics. Rethymno, Crete: American Institute of Physics, 2009. p. 282-285. ISBN: 978-0-7354-0705-3.
Czech title
Nové trendy ve výpočtech Taylorovou řadou
Type
conference paper
Language
English
Authors
Kunovský Jiří, doc. Ing., CSc.
Šátek Václav, Ing., Ph.D. (DITS)
Kraus Michal, Ing., Ph.D.
Keywords

Differential equations, TKSL, MTSM, ORD, Finite integrals

Abstract

Motto: For the derivates of all decent functions analytic formulas can be found but with integration this is only true for very special decent functions. The aim of our paper is to describe new modern numerical methods based on the Taylor Series Method and to show how to compare speed and accuracy of numerical methods. It is also the aim of our paper to show how to calculate finite integrals that are the fundamental part in signal processing, especially in Fourier analysis. It is a fact that the accuracy and stability of the algorithms we have designed significantly exceeds the presently known systems from abroad. In particular, the paper wants to concentrate, using the previous results and latest development trends, on the simulation of dynamic systems and on extremely exact mathematical computations.

Published
2009
Pages
282–285
Proceedings
Numerical Analysis and Applied Mathematics
ISBN
978-0-7354-0705-3
Publisher
American Institute of Physics
Place
Rethymno, Crete
UT WoS
000273023600070
BibTeX 
@inproceedings{BUT33746,
  author="Jiří {Kunovský} and Václav {Šátek} and Michal {Kraus}",
  title="New Trends in Taylor Series Based Computations",
  booktitle="Numerical Analysis and Applied Mathematics",
  year="2009",
  pages="282--285",
  publisher="American Institute of Physics",
  address="Rethymno, Crete",
  isbn="978-0-7354-0705-3"
}
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